Light of wavelength $4000 Å$ is incident on a sodium surface for which the threshold wavelength of photo…

Light of wavelength $4000 Å$ is incident on a sodium surface for which the threshold wavelength of photo electrons is $5420 Å$. The work function of sodium is
  1. 4.58 eV
  2. 2.29 eV
  3. 1.14 eV
  4. 0.57 eV

Solution

$\lambda = 4000 Å, \lambda_0=5420 Å$ $\therefore$ Work function, $\begin{aligned} \phi_0=\frac{12400}{\lambda_0(\mathrm{in} Å)} \mathrm{eV} & =\frac{12400}{5420} \\ & =2.29 \mathrm{eV}\end{aligned}$

Asked in: AP EAMCET 2024 (22 May Shift 2)

Practice more Dual Nature of Matter and Radiation questions on Aicharya